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Inner derivations on ultraprime normed real algebras

✍ Scribed by M. Cabrera; J. Martínez


Publisher
Springer
Year
1997
Tongue
English
Weight
352 KB
Volume
68
Category
Article
ISSN
0003-889X

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Inner Derivations on σ-C*-Algebras
✍ N. Christopher Phillips 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 266 KB

We prove the following two improvements of a result of BECKER. (1) If A is a pro-C\*-algebra, then every derivation on A is approximately inner. (2) If A is a separable a-C\*-algebra, and ifevery C\* quotient of A has the property that every derivation on it is inner, then also every derivation on A